Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 854, 871, 873, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 871, 873, 520 is 1
GCD(854, 871, 873, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 871, 873, 520 is 1
GCD(854, 871, 873, 520) = 1
Given Input numbers are 854, 871, 873, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 854, 871, 873, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 871, 873, 520 is 1.
Therefore, GCD of numbers 854, 871, 873, 520 is 1
Given Input Data is 854, 871, 873, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 871 is 13 x 67
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(854, 871) = 743834
GCD(854, 871) = ( 854 x 871 ) / 743834
GCD(854, 871) = 743834 / 743834
GCD(854, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 854, 871, 873, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 871, 873, 520?
GCD of 854, 871, 873, 520 is 1
2. Where do I get the detailed procedure to find GCD of 854, 871, 873, 520?
You can find a detailed procedure to find GCD of 854, 871, 873, 520 on our page.
3. How to find GCD of 854, 871, 873, 520 on a calculator?
You can find the GCD of 854, 871, 873, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.